Y. Yao

collaborators

3 papers

math.DS2023

On the union of homogeneous symmetric Cantor set with its translations

Derong Kong, Wenxia Li, Zhiqiang Wang +2

Fix a positive integer $N$ and a real number $0 < β < 1/ (N + 1)$ . Let $Γ$ be the homogeneous symmetric Cantor set generated by the IFS $$ \Big\{ ϕ_i(x)=βx + i \frac{1-β}{N}: i=0,1,\cdo…

math.DS2020

On a kind of self-similar sets with complete overlaps

Derong Kong, Yuanyuan Yao

Let $E$ be the self-similar set generated by the {\it iterated function system} {\[ f_0(x)=\frac{x}β,\quad f_1(x)=\frac{x+1}β, \quad f_{β+1}=\frac{x+β+1}β \]}with $β \geq 3$ . {Then}…

math.DS2018

On the structure of $λ$ -Cantor set with overlaps

Karma Dajani, Derong Kong, Yuanyuan Yao

Given $λ \in (0, 1)$ , let $E_{λ}$ be the self-similar set generated by the iterated function system ${x /3, (x + λ) /3, (x + 2) /3}$ . Then $E_{λ}$ is a self-similar set with overlaps. We obtain…

On the union of homogeneous symmetric Cantor set with its translations

On a kind of self-similar sets with complete overlaps

On the structure of λ-Cantor set with overlaps

On the structure of $λ$ -Cantor set with overlaps